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If A and B are any two events such that P(A)+P(B)-P(A and B)=P(A), then

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a

P(B/A)=1

b

P(A/B)=1

c

P(B/A)=0

answer is B.

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Detailed Solution

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$\begin{array}{l} P (A) + P (B) - P (A and B) = P (A) \\ \Rightarrow P (A) + P (B) - P (A \cap B) = P (A) \\ \Rightarrow P (B) - P (A \cap B) = 0 \\ \Rightarrow P (A \cap B) = P (B) \\ ∴ P (A ∣ B) = \frac{P (A \cap B)}{P (B)} \\ ∴ = \frac{P (B)}{P (B)} \\ = 1 \end{array}$

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